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995050488960 = 273251131071213
BaseRepresentation
bin11100111101011011010…
…00011000010010000000
310112010101210001012202100
432132231220120102000
5112300330411121320
62041041521150400
7131614164413463
oct16365550302200
93463353035670
10995050488960
11353aa9073000
12140a2048b400
1372aa9a36a98
1436236d692da
151ad3be84790
hexe7ada18480

995050488960 has 768 divisors, whose sum is σ = 3817845083520. Its totient is φ = 238772920320.

The previous prime is 995050488937. The next prime is 995050489003. The reversal of 995050488960 is 69884050599.

995050488960 is a `hidden beast` number, since 9 + 9 + 505 + 0 + 48 + 89 + 6 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 820321314 + ... + 820322526.

Almost surely, 2995050488960 is an apocalyptic number.

995050488960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 995050488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908922541760).

995050488960 is an abundant number, since it is smaller than the sum of its proper divisors (2822794594560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

995050488960 is a wasteful number, since it uses less digits than its factorization.

995050488960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 995050488960 in words is "nine hundred ninety-five billion, fifty million, four hundred eighty-eight thousand, nine hundred sixty".